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Asymptotic Solutions of the Discrete Painlevé Equation of Second Type

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Abstract

Several classes of asymptotic solutions of the discrete Painlevé equation of second type (dPII) for large values of the independent variable are found. The cases of complex and real solutions are considered. as well as special solutions related to symmetric group representations.

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Authors and Affiliations

  1. Institute of Mathematics with Computing Center of Ufa Federal Research Center of Russian Academy of Sciences, Ufa, 450008, Russia

    V. Yu. Novokshenov

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  1. V. Yu. Novokshenov
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Correspondence to V. Yu. Novokshenov.

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Translated from Matematicheskie Zametki, 2022, Vol. 112, pp. 613–624 https://doi.org/10.4213/mzm13733.

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Novokshenov, V.Y. Asymptotic Solutions of the Discrete Painlevé Equation of Second Type. Math Notes 112, 598–607 (2022). https://doi.org/10.1134/S0001434622090280

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